Pendulum with a square-wave modulated length

Результат исследований: Научные публикации в периодических изданияхстатья

6 Цитирования (Scopus)

Выдержка

Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.
Язык оригиналаанглийский
Страницы (с-по)25-34
ЖурналInternational Journal of Non-Linear Mechanics
Том55
DOI
СостояниеОпубликовано - 2013

Отпечаток

Pendulum
Pendulums
Wavelength
Modulation
Parametric Excitation
Parametric Resonance
Phase Locking
Quality Factor
Active Control
Damping
Optimal Control
Computer Simulation
Oscillation
Feedback
Computer simulation

Цитировать

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abstract = "Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.",
keywords = "Parametric resonance, phase locking, multistability, autoresonance, bifurcations, instability ranges",
author = "E.I. Butikov",
year = "2013",
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language = "English",
volume = "55",
pages = "25--34",
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Pendulum with a square-wave modulated length. / Butikov, E.I.

В: International Journal of Non-Linear Mechanics, Том 55, 2013, стр. 25-34.

Результат исследований: Научные публикации в периодических изданияхстатья

TY - JOUR

T1 - Pendulum with a square-wave modulated length

AU - Butikov, E.I.

PY - 2013

Y1 - 2013

N2 - Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.

AB - Parametric excitation of a rigid planar pendulum caused by a square-wave modulation of its length is investigated both analytically and with the help of computer simulations. The threshold and other characteristics of parametric resonance are found and discussed in detail. The role of non-linear properties of the pendulum in restricting the resonant swinging is emphasized. The boundaries of parametric instability are determined as functions of the modulation depth and the quality factor. Stationary oscillations at these boundaries and at the threshold conditions are investigated. The feedback providing active optimal control of pumping and damping is analyzed. Phase locking between the drive and the pendulum at large amplitudes and the phenomenon of parametric autoresonance are discussed.

KW - Parametric resonance

KW - phase locking

KW - multistability

KW - autoresonance

KW - bifurcations

KW - instability ranges

U2 - 10.1016/j.ijnonlinmec.2013.04.011

DO - 10.1016/j.ijnonlinmec.2013.04.011

M3 - Article

VL - 55

SP - 25

EP - 34

JO - International Journal of Non-Linear Mechanics

JF - International Journal of Non-Linear Mechanics

SN - 0020-7462

ER -